The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86
Answer:
10.99 feet
Step-by-step explanation:
The arc length when an angle of 360° is made is the perimeter of the circle.
Perimeter = π*Diameter = π*30 = 94.25 ft
To know the arc length when an angle of 42° is made, we need to use the following proportion
94.25 ft / x ft = 360° / 42°
x = 42/360*94.25
x = 10.99 ft
Answer:
1/3
Step-by-step explanation:
Of the numbers between 1 and 12, the numbers that are multiples of 4 or 6 are: 4, 6, 8, 12.
So the probability is 4/12, or 1/3.
Answer:
Step-by-step explanation:
(a)
Total cost = (7 items * Cost per item) + Shipping fee = 7*6.5 + 8.5 = $54
(b)
Modelling the above equation with symbols:
c = s*6.5 + 8.5 = 6.5s + 8.5
(c)
For a total cost of 80$, c = 80:
80 = 6.5s + 8.5
Calculating, we get:
s = 11 items
Rachel ordered a total of 11 items
